SOLVABILITY AND BOUNDEDNESS FOR GENERAL VARIATIONAL INEQUALITY PROBLEMS

Title & Authors
SOLVABILITY AND BOUNDEDNESS FOR GENERAL VARIATIONAL INEQUALITY PROBLEMS
Luo, Gui-Mei;

Abstract
In this paper, we propose a sufficient condition for the existence of solutions to general variational inequality problems (GVI(K, F, $\small{g}$)). The condition is also necessary when F is a $\small{g-P^M_*}$ function. We also investigate the boundedness of the solution set of (GVI(K, F, $\small{g}$)). Furthermore, we show that when F is norm-coercive, the general complementarity problems (GCP(K, F, $\small{g}$)) has a nonempty compact solution set. Finally, we establish some existence theorems for (GNCP(K, F, $\small{g}$)).
Keywords
general variational inequality problem;general complementarity problem;existence;boundedness;strict feasibility;quasi-g-$\small{P^M_*}$ function;
Language
English
Cited by
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